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Finding the Third Proportional to 585,280.69 and 1,276,920.86

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Solution

The third proportional to 585,280.69 and 1,276,920.86 is: 2,785,888.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,280.69 : 1,276,920.86 = 1,276,920.86 : x
  2. Step 2: Convert to fraction form
    585,280.69/1,276,920.86 = 1,276,920.86/x
  3. Step 3: Cross multiply
    585,280.69x = 1,276,920.86 × 1,276,920.86
  4. Step 4: Simplify right side
    585,280.69x = 1,630,526,886,094.90
  5. Step 5: Solve for x
    x = 1,630,526,886,094.90/585,280.69
  6. Step 6: Final answer
    x = 2,785,888.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.